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Finding the Fourth Proportional to 296,711.19, 445,136.81 and 97,030.80

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Solution

The fourth proportional to 296,711.19, 445,136.81 and 97,030.80 is: 145,569.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,711.19 : 445,136.81 = 97,030.80 : x
  2. Step 2: Convert to fraction form
    296,711.19/445,136.81 = 97,030.80/x
  3. Step 3: Cross multiply
    296,711.19x = 445,136.81 × 97,030.80
  4. Step 4: Simplify right side
    296,711.19x = 43,191,980,298.59
  5. Step 5: Solve for x
    x = 43,191,980,298.59/296,711.19
  6. Step 6: Final answer
    x = 145,569.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.